On the Weinstein conjecture in higher dimensions
Peter Albers, Helmut Hofer
TL;DR
This paper links the existence of a Plastikstufe in contact structures to the validity of the Weinstein conjecture in higher dimensions, providing a new approach to proving the conjecture.
Contribution
It establishes that the presence of a Plastikstufe guarantees the Weinstein conjecture for all supporting contact forms in higher-dimensional contact manifolds.
Findings
Existence of Plastikstufe implies Weinstein conjecture in higher dimensions
Provides a new criterion for verifying the Weinstein conjecture
Bridges contact topology and dynamical systems in higher dimensions
Abstract
The existence of a "Plastikstufe" for a contact structure implies the Weinstein conjecture for all supporting contact forms.
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